NC EOG/EOC Grade 7 Geometry. Practice it free.

EOG grade 7 domain (16-20% of the test, Table 2). Draw, construct, and describe geometrical figures and describe the relationships between them, and solve real-life and mathematical problems involving angle measure, area, surface area, and volume. This Grade 7 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grade 7G9 mapped skills
What the test measures

Geometry skills

  1. Draw, construct, and describe geometrical figures and describe the relationships between them, including scale drawings

  2. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume, including circles

Standards basis

North Carolina Standard Course of Study (NCSCOS) — North Carolina

How the NC EOG/EOC reports it

North Carolina’s math assessments are state-developed EOG/EOC tests aligned to the North Carolina Standard Course of Study (NCSCOS) for Mathematics, adopted June 2016, rather than a shared multistate framework. The EOG Grades 3-8 Mathematics Test Specifications and the EOC NC Math 1 and NC Math 3 Test Specifications publish, in Table 1/Table 2, the range of total items by domain (the official domain weight distributions). The NCSCOS K-8 domains carry CCSS domain codes (NC.3.OA, NC.8.F, …) and are CCSS-derived; NC Math 1 and NC Math 3 are integrated high-school EOC courses whose standards carry NC.M1/NC.M3 conceptual-category codes (Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability).

Blueprint & weighting

Published per-domain weight ranges come from the NC DPI EOG/EOC Mathematics Test Specifications (April 2026), Table 1/Table 2 (range of total items by domain). EOG grades 3-5 (Table 1): Operations and Algebraic Thinking 32-36% (g3) / 14-18% (g4) / 9-13% (g5); Number and Operations in Base Ten 9-13% / 25-29% / 25-29%; Number and Operations – Fractions 28-32% / 30-34% / 39-43%; Measurement and Data, Geometry 23-27% / 23-27% / 19-23%. EOG grades 6-8 (Table 2): Ratios and Proportional Relationships 24-28% (g6) / 24-28% (g7) / — (g8); The Number System 20-24% / 8-12% / —; Expressions and Equations 22-26% / 20-24% / —; The Number System, Expressions and Equations (combined) — / — / 24-28%; Functions — / — / 28-32%; Geometry 12-16% / 16-20% / 24-28%; Statistics and Probability 12-16% / 22-26% / 16-20%. EOC (Table 1): NC Math 1 — Number and Quantity and Algebra 36-40%, Functions 32-36%, Geometry 8-12%, Statistics and Probability 18-20%; NC Math 3 — Number and Quantity and Algebra 32-36%, Functions 32-36%, Geometry 20-24%, Statistics and Probability 8-12%.

Practice by skill

Topics mapped to this domain

Volume of prisms and cylinders

Grade 731 questions

Effect of scale factor on similar figures

Grade 710 questions

Triangle inequality

Grade 710 questions

Surface area and volume

Grade 1015 questions

Angle relationships

Grade 749 questions

Area and circumference of circles

Grade 710 questions

Circle formulas

Grade 729 questions

Multi-step perimeter, area, and volume (ACT)

Grade 77 questions

Surface area in context (SAT)

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length 22, width 44, and height 99. What is its volume?

V=2×4×9=72V = 2 \times 4 \times 9 = 72.

Practice playeasy

Rectangles JKLMJKLM and NPQRNPQR are similar. The perimeter of rectangle JKLMJKLM is 18,18\textsf{,} and the perimeter of rectangle NPQRNPQR is 45.45\textsf{.} Side JKJK corresponds to side NP,NP\textsf{,} and JK=6.JK = 6\textsf{.} What is the length of NP?NP\textsf{?}

The scale factor from rectangle JKLMJKLM to rectangle NPQRNPQR equals the perimeter ratio 4518=52.\dfrac{45}{18} = \dfrac{5}{2}\textsf{.} So NP=6⋅52=15.NP = 6 \cdot \dfrac{5}{2} = 15\textsf{.}

Practice playeasy

In a triangle, two sides each have length 8.8\textsf{.} Which inequality represents the possible lengths, x,x\textsf{,} of the third side?

The triangle inequality requires ∣8−8∣<x<8+8.|8 - 8| < x < 8 + 8\textsf{.} Simplifying gives 0<x<16.0 < x < 16\textsf{.}

Practice playeasy

Find the volume of a cone with radius 33 and height 55. Use π=3\pi = 3.

V=13πr2h=13×3×9×5=45V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45.

Practice playeasy

Two lines cross. One angle formed is 20°20°. What is the vertical angle?

Vertical angles are equal: 20°20°.

Practice playeasy

A circle has a radius of 77 meters. What is the area, in square meters, of the circle?

The area of a circle is A=πr2A = \pi r^{2}. Substitute r=7r = 7: A=π(7)2=49π.A = \pi(7)^{2} = 49\pi\textsf{.}

Practice playeasy

A circle has radius 22. Using π=3\pi = 3, what is its area?

A=πr2=3×4=12A = \pi r^2 = 3 \times 4 = 12.

Practice playhard

A rectangular prism has volume 160160 cubic inches and height 55 inches. The length is twice the width. What is the length, in inches?

V=ℓwhV = \ell w h and ℓ=2w\ell = 2w, so 160=(2w)(w)(5)=10w2160 = (2w)(w)(5) = 10w^2. Then w2=16w^2 = 16, so w=4w = 4 and ℓ=8 in.\ell = 8\text{ in}\textsf{.}

Keep practicing

Turn geometry into game time.

The NC EOG/EOC placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.G.B.68.G.C.9HSG.GMD.A.37.G.B.57.G.B.4
Geometry in other NC EOG/EOC grades
Grade 6Grade 8NC Math 1NC Math 3
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NC EOG/EOC prepOfficial test source
Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsEOG grade 7 domain (24-28% of the test, Table 2). Analyze proportional relationships and use them to solve real-world and mathematical problems, including multistep percent problems.8 QsPractice →The Number SystemEOG grade 7 domain (8-12% of the test, Table 2). Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.8 QsPractice →Expressions and EquationsEOG grade 7 domain (20-24% of the test, Table 2). Use properties of operations to generate equivalent expressions and solve real-life and mathematical problems using numerical and algebraic expressions and equations.8 QsPractice →Statistics and ProbabilityEOG grade 7 domain (22-26% of the test, Table 2). Use random sampling to draw inferences about a population, draw informal comparative inferences about two populations, and investigate chance processes and develop, use, and evaluate probability models.8 QsPractice →